{
  "id": "1607.03470",
  "version": "v1",
  "published": "2016-07-12T19:22:06.000Z",
  "updated": "2016-07-12T19:22:06.000Z",
  "title": "Jucys-Murphy operators for Soergel bimodules",
  "authors": [
    "S. Ryom-Hansen"
  ],
  "comment": "30 pages, several figures",
  "categories": [
    "math.RT",
    "math.QA"
  ],
  "abstract": "We produce Jucys-Murphy elements for the diagrammatical category of Soergel bimodules associated with general Coxeter groups, and use them to diagonalize the bilinear form on the cell modules. This gives rise to an expression for the determinant of the forms and Jantzen type sum formulas.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2016-07-12T19:22:06.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "soergel bimodules",
      "jucys-murphy operators",
      "jantzen type sum formulas",
      "produce jucys-murphy elements",
      "general coxeter groups"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 30,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}